On the Existence of Positive Solutions to the Coupled System of a Class of Nonlinear Fractional Differential Equations
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摘要: 利用Guo-Krasnoselskii不动点定理、Schauder不动点定理和格林函数的性质，研究一类非线性Riemann-Liouville型分数阶微分方程耦合系统正解的存在性，得到了该耦合系统正解的存在性定理，并举例说明了定理的有效性.Abstract: The Guo-Krasnoselskii's fixed point theorem, the Schauder fixed point theorem and the properties of the associated Green's function are used to study the existence of positive solutions to the coupled system of a class of nonlinear Riemann-Liouville fractional differential equations. Two theorems about the existence of positive solutions are obtained, and two examples are given to illustrate the advantages of the theorems.
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